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3 years ago

15

a fruit punch recipe requires 12 teaspoons of sugar for every 3 quarts of water. at this rate how much sugar is needed for 9 qua

rts of water

1 answer:

Alborosie3 years ago

8 0

36 teaspoons. since the number of quarts is multiplied by 3, multiply the number of teaspoons as well. 12 × 3 = 36

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vova2212 [387]

Answer: OPTION C

Step-by-step explanation:

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Keeping the above on mind, you have:

$(f-g)(x)=2x^{2}+2-(x^{2}-1)$

You must distribute the negative sign and then you must add the like terms, therefore, you obtain:

$(f-g)(x)=2x^{2}+2-x^{2}+1\\(f-g)(x)=x^{2} +3$

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2 years ago

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nirvana33 [79]

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48

Step-by-step explanation:

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3 years ago

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ryzh [129]

First find the critical points of <em>f</em> :

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$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of <em>g</em> :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So <em>f</em> has a minimum of -7 and a maximum of 299.

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3 years ago

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lara31 [8.8K]

Answer:

(1.35, 1.6)

Step-by-step explanation:

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2 years ago

For a field trip for students Road in cars and the rest filled nine buses how many students were in each bus it for how to 72 st

jasenka [17]

72 divided by 9 equals 8
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3 years ago